On the stability of differential systems with respect to impulsive perturbations

DOI10.1016/0022-247X(74)90174-7zbMath0303.34042MaRDI QIDQ1216540

V. Raghavendra, M. Rama Mohana Rao

Publication date: 1974

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items

Periodic solutions of quasilinear non-autonomous systems with impulses, Bilateral approximations and periodic solutions of systems of differential equations with impulses, A projection-iterative method for finding periodic solutions of nonlinear systems of difference-differential equations with impulses, Exponential stability of the solutions of the initial-value problem for systems with impulse effect, Continuous dependence of the solution of a system of differential equations with impulses on the impulse hypersurfaces, Periodic solutions of quasilinear non‐autonomous systems with impulses, Stability and asymptotic equivalence of measure differential equations, INTEGRAL SURFACES FOR HYPERBOLIC ORDINARY DIFFERENTIAL EQUATIONS WITH IMPULSES, Continuous dependence of the solution of a system of differential equations with impulses on the initial condition and a parameter in the presence of beating, Stability of linear impulsive differential equations, Stability of linear impulsive differential equations, Exponential stability of the solutions of the initial value problem for systems with an impulse effect, Differentiability of solutions of systems with impulse effect with respect to initial data and parameter, Investigations of the properties motion for essential nonlinear systems perturbed by impulses on some hypersurfaces, Integro-sum inequalities and motion stability of systems with impulse perturbations, On the stability of impulsively perturbed differential systems

Cites Work

• Perturbation theorems for ordinary differential equations
• A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
• Researches of the boundedness and stability of the solutions of non-linear differential equations
• Bounds on the Norm of a Solution of a General Differential Equation
• Nonlinear Differential Equations with Forcing Terms
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